Wave7vortex interaction is one of crucial fields of modern nonlinear unsteady fluid dynamics. This paper presents a systematic review on the progress of studies on the interactions between weak, longitudinal and transverse waves (e. g., acoustic and vortical waves) and laminal and axial vortices. The review covers the vortex sound theory, the two-dimensional theory on receptivity and unsteady Kutta condition for the vortex layer separation from sharp edge and smooth surface as well as the free vortex layer,...